Hybridization of the virtual element method for linear elasticity problems
Lovadina, C., Visinoni, M.
2021Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)21 citationsDOIOpen Access PDF
Abstract
In this paper, we extend the hybridization procedure proposed in [D. N. Arnold and F. Brezzi, Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates, ESAIM Math. Model. Numer. Anal. 19 (1985) 7-32] to the Virtual Element Method for linear elasticity problems based on the Hellinger-Reissner principle. To illustrate such a technique, we focus on a specific 2D scheme, but other methods and 3D problems can be considered as well. We also show how to design a better approximation of the displacement field using a straightforward post-processing procedure. The numerical experiments confirm the theory for both two and three-dimensional problems.
Topics & Concepts
Finite element methodLinear elasticityElasticity (physics)Applied mathematicsDisplacement fieldFocus (optics)MathematicsComputer scienceElement (criminal law)AlgorithmMathematical optimizationMathematical analysisCalculus (dental)PhysicsDentistryThermodynamicsPolitical scienceLawOpticsMedicineAdvanced Numerical Methods in Computational MathematicsNumerical methods in engineeringElectromagnetic Simulation and Numerical Methods